203:
654:
120:
The early string of six 9s is also the first occurrence of four and five consecutive identical digits. The next sequence of six consecutive identical digits is again composed of 9s, starting at position 193,034. The next distinct sequence of six consecutive identical digits after that starts with the
163:
9 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548
82:, when I was a crazy high-school kid. My never-attained ambition was to reach the spot, 762 digits out in the decimal expansion, where it goes "999999", so that I could recite it out loud, come to those six 9s, and then impishly say, "and so on!"
94:, who allegedly stated this same idea in a lecture. However it is not clear when, or even if, Feynman made such a statement. It is not mentioned in published biographies or in his autobiographies, and is unknown to his biographer,
353:
124:
The positions of the first occurrence of a string of 1, 2, 3, 4, 5, 6, 7, 8, and 9 consecutive 9s in the decimal expansion are 5; 44; 762; 762; 762; 762; 1,722,776; 36,356,642; and 564,665,206, respectively (sequence
345:
170:
5681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4
432:
117:. For a normal number sampled uniformly at random, the probability of a specific sequence of six digits occurring this early in the decimal representation is about 0.08%.
151:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 48
261:
164:
0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132
639:
553:
184:
313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 66
147:(1,000 decimal places), showing consecutive runs of three or more digits including the consecutive six 9's underlined, are as follows:
132:
442:
609:
236:
570:
315:
799:
415:
325:
270:
546:
749:
468:
17:
494:
539:
687:
804:
226:
49:
178:
837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101
579:
653:
744:
619:
8:
755:
692:
629:
682:
599:
562:
311:
208:
70:
65:
770:
738:
697:
411:
321:
266:
202:
722:
707:
677:
589:
519:
437:
91:
61:
788:
114:
48:), starting at the 762nd decimal place. It has become famous because of the
27:
Sequence of digits in the math constant π, incorrectly attributed to
Feynman
717:
95:
794:
341:
221:
110:
702:
531:
524:
464:
672:
231:
216:
490:
376:
37:
52:, and because of the idea that one could memorize the digits of
286:
127:
262:
The
Penguin Dictionary of Curious and Interesting Numbers
41:
775:
By
Hofstadter and the Fluid Analogies Research Group
198:
86:
This sequence of six nines is sometimes called the "
64:. The earliest known mention of this idea occurs in
310:
265:, Middlesex, England: Penguin Books, p. 51,
786:
433:"Knowledge turns 15 on Friday (citation needed)"
547:
401:
399:
397:
430:
340:
405:
554:
540:
394:
304:
457:
56:up to that point, and then suggest that
491:"The Digits of Pi — First ten thousand"
254:
252:
14:
787:
561:
497:from the original on 21 September 2012
610:Fluid Concepts and Creative Analogies
535:
424:
374:
346:"Douglass Hofstadter's Pi in the Sky"
334:
258:
101:
249:
138:
78:I myself once learned 380 digits of
406:Arndt, J. & Haenel, C. (2001),
24:
25:
816:
513:
356:from the original on 13 July 2017
34:sequence of six consecutive nines
652:
471:from the original on 5 July 2018
431:David Brooks (12 January 2016).
201:
410:, Berlin: Springer, p. 3,
750:Indiana University Bloomington
483:
368:
279:
13:
1:
242:
121:digit 8 at position 222,299.
40:representation of the number
7:
194:
10:
821:
143:The first 1,001 digits of
74:, where Hofstadter states
769:Edited by Hofstadter and
765:
731:
661:
650:
569:
113:, but not known, to be a
800:Recreational mathematics
227:Mathematical coincidence
50:mathematical coincidence
157:74502 8410270193 852110
688:Hofstadter's butterfly
84:
640:Surfaces and Essences
381:mathworld.wolfram.com
76:
745:Egbert B. Gebstadter
620:Le Ton beau de Marot
237:Ramanujan's constant
756:Victim of the Brain
630:I Am a Strange Loop
580:Gödel, Escher, Bach
375:Weisstein, Eric W.
350:The Washington Post
312:Hofstadter, Douglas
90:", after physicist
600:Metamagical Themas
563:Douglas Hofstadter
445:on 18 January 2017
317:Metamagical Themas
259:Wells, D. (1986),
209:Mathematics portal
102:Related statistics
71:Metamagical Themas
66:Douglas Hofstadter
782:
781:
771:Daniel C. Dennett
739:Robert Hofstadter
698:Hofstadter points
139:Decimal expansion
16:(Redirected from
812:
723:Superrationality
708:Platonia dilemma
693:Hofstadter's law
656:
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441:. Archived from
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805:Richard Feynman
785:
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713:Six nines in pi
678:BlooP and FlooP
666:
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520:"Feynman Point"
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438:Concord Monitor
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377:"Feynman Point"
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320:. Basic Books.
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92:Richard Feynman
79:
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28:
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15:
12:
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5:
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514:External links
512:
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416:
408:Pi – Unleashed
393:
367:
344:(5 May 1985).
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36:occurs in the
26:
9:
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2:
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417:3-540-66572-2
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272:0-14-026149-4
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115:normal number
112:
99:
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88:Feynman point
83:
75:
73:
72:
68:'s 1985 book
67:
63:
51:
43:
39:
35:
30:
19:
18:Feynman point
754:
718:Strange loop
712:
663:Concepts and
638:
628:
618:
608:
598:
590:The Mind's I
588:
578:
523:
499:. Retrieved
485:
473:. Retrieved
459:
447:. Retrieved
443:the original
436:
426:
407:
384:. Retrieved
380:
370:
358:. Retrieved
349:
342:Rucker, Rudy
336:
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294:. Retrieved
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96:James Gleick
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69:
33:
31:
29:
501:25 November
465:"Pi Search"
449:10 February
111:conjectured
789:Categories
475:1 February
243:References
222:9 (number)
703:MU puzzle
525:MathWorld
360:4 January
741:(father)
673:Ambigram
665:projects
495:Archived
469:Archived
354:Archived
314:(1985).
291:oeis.org
232:Repdigit
217:0.999...
195:See also
62:rational
732:Related
683:Copycat
528:article
131:in the
128:A048940
38:decimal
644:(2013)
634:(2007)
624:(1997)
614:(1995)
604:(1985)
594:(1981)
584:(1979)
414:
324:
269:
174:999999
571:Books
386:1 May
296:1 May
503:2006
477:2007
451:2016
412:ISBN
388:2023
362:2016
322:ISBN
298:2023
267:ISBN
133:OEIS
187:111
181:000
167:000
160:555
154:111
135:).
109:is
60:is
795:Pi
791::
493:.
467:.
435:.
396:^
379:.
352:.
348:.
289:.
251:^
98:.
42:pi
32:A
555:e
548:t
541:v
522:—
505:.
479:.
453:.
421:.
390:.
364:.
330:.
300:.
276:.
145:π
107:π
80:π
58:π
54:π
46:π
44:(
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
